Stable application of Filon–Clenshaw–Curtis rules to singular oscillatory integrals by exponential transformations-Reference-Cited by-同舟云学术

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Stable application of Filon–Clenshaw–Curtis rules to singular oscillatory integrals by exponential transformations

Published:2018-10-11 Issue:1 Volume:59 Page:155-181
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Majidian Hassan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

http://link.springer.com/content/pdf/10.1007/s10543-018-0730-0.pdf

Reference25 articles.

1. Chandler-Wilde, S., Graham, I., Langdon, S., Spence, E.: Numerical-asymptotic boundary integral methods in high-frequency scattering. Acta Numer. 21, 89–305 (2012)

2. Deaño, A., Huybrechs, D.: Complex Gaussian quadrature of oscillatory integrals. Numer. Math. 112, 197–219 (2009)

3. Domínguez, V., Graham, I., Kim, T.: Filon–Clenshaw–Curtis rules for highly oscillatory integrals with algebraic singularities and stationary points. SIAM J. Numer. Anal. 51, 1542–1566 (2013)

4. Domínguez, V., Graham, I., Smyshlyaev, V.: Stability and error estimates for Filon–Clenshaw–Curtis rules for highly oscillatory integrals. IMA J. Numer. Anal. 31, 1253–1280 (2011)

5. Higham, N.: The accuracy of floating point summation. SIAM J. Sci. Comput. 14, 783–799 (1993)

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1. Adaptive FCC+ rules for oscillatory integrals;Journal of Computational and Applied Mathematics;2023-05

2. Efficient construction of FCC+ rules;Journal of Computational and Applied Mathematics;2023-01

3. On the Stability of Filon–Clenshaw–Curtis Rules;Bulletin of the Iranian Mathematical Society;2022-01-28

4. On adaptive extended Filon-Clenshaw-Curtis rules;2021 52nd Annual Iranian Mathematics Conference (AIMC);2021-08-30

5. Efficient computation of oscillatory integrals by exponential transformations;BIT Numerical Mathematics;2021-03-23

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